The effect of surface roughness of aluminum on pore arrangement of anodic aluminum oxide (AAO) has been studied. Level crossing analysis was used in order to quantitatively evaluate the surface roughness (smoothness) of aluminum which was electropolished under a wide range of different voltages, temperatures and times, using \(\tt \normalsize H_3PO_4+H_2SO_4+H_2O(4:4:2, v/v)\) electrolyte. We present an image processing method which quantitatively determines the pore arrangement of AAO nanostructures which were formed in 0.3 M oxalic acid via two-step self-organized anodization, at 1 °C at constant voltage of 40 V. Here, we have analysed AAO which naturally forms hexagonal structures. However, the image processing method we have proposed here can be used basically to analyse any periodic structure. We have shown that the pore arrangement of AAO is in direct correlation with surface roughness and the best arrangement in AAO can be achieved for the smoothest surface, i.e. lowest value of level crossing.

研究了铝的表面粗糙度对阳极氧化铝（AAO）孔排列的影响。为了对在各种不同电压，温度和时间下进行电抛光的铝的表面粗糙度（光滑度）进行定量分析，使用水平交叉分析法，使用\（\ tt \ normalsize H_3PO_4 + H_2SO_4 + H_2O（4：4： 2，v / v）\）电解质。我们提出了一种图像处理方法，该方法定量地确定了在0.3 M草酸中通过两步自组织阳极氧化在1°C和40 V恒定电压下形成的AAO纳米结构的孔排列。在此，我们分析了AAO自然形成六边形结构。但是，我们在此提出的图像处理方法基本上可以用于分析任何周期性结构。我们已经表明，AAO的孔排列与表面粗糙度直接相关，并且对于最光滑的表面（即最低的平交值）可以实现AAO的最佳排列。